Lesson 22 K
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 22
Objective: Decompose the number 6 using 5-group drawings by breaking
off or removing a part, and record each decomposition with a drawing and
subtraction equation.
Suggested Lesson Structure
Fluency Practice

Application Problem

Concept Development

Student Debrief

Total Time
(12 minutes)
(5 minutes)
(25 minutes)
(8 minutes)
(50 minutes)
Fluency Practice (12 minutes)
 Sprint: Complete the Number Bond K.OA.1 (12 minutes)
Sprint: Complete the Number Bond (12 minutes)
Materials: (S) 1 copy of the Complete the Number Bond Sprint
Note: This Sprint focuses on part–whole relationships in anticipation of the Concept Development.
T:
It’s time for a Sprint! (Briefly recall previous Sprint preparation activities, and distribute Sprints
facedown.) Take out your pencil and one crayon—any color. For this Sprint, you are going to
complete the number bond. You can use drawings or numbers. (Demonstrate the first problem as
needed.)
Continue to follow the Sprint procedure as outlined in Lesson 3.
Today, students will work on two different Sprints. Continue to
emphasize that the goal is simply to do better than the first
time, and celebrate improvement.
Application Problem (5 minutes)
Materials: (S) Linking cube 6-stick per pair, personal white board
T:
S:
Let’s play a game of Snap! Count the cubes in your stick.
How many are you starting with?
6.
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
NOTES ON
MULTIPLE MEANS
OF ENGAGEMENT:
Scaffold the Application Problem for
English language learners by providing
sentence starters to use during the
game. “You have cubes behind your
back.” Encourage students to say,
“You have cubes behind your back
because take away is .”
Students will learn the mathematical
language as they use it regularly.
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.27
Lesson 22 K
NYS COMMON CORE MATHEMATICS CURRICULUM
T:
Put the stick behind your back. When your partner says, “Snap!” break your stick. Show him how
many cubes you have left.
T:
T:
T:
Can he figure out how many are still behind your back? If not, show him.
Make a number bond about your snap on your personal white board.
Can you and your partner think of a take away number sentence to tell about the snap?
Note: Reintroduction of this game and reviewing the number bond helps students to contemplate the
relationships between addition and subtraction. Focusing on the decomposition of 6 serves as an additional
anticipatory set for this lesson.
Concept Development (25 minutes)
Materials: (T) Large foam die (S) Linking cube 6-sticks,
personal white board, 1 die (per pair)
T:
S:
T:
S:
T:
S:
T:
S:
T:
S:
T:
S:
Count the number of cubes in your stick. How
many?
6.
Break 2 cubes off the end of your stick, and put
them in your lap. How many cubes do you still have
left in your hand?
4.
Tell me a number sentence about what you just did.
6 take away 2 equals 4.
Draw a picture to show what you did. Draw your 6
cubes. Now, cross off 2 to show the ones you broke
off. Count the ones that are left. Write a number
sentence to tell about your cubes. (Allow time for
drawing and creation of the number sentence.
Circulate to assist students who still need additional
help.) Would anyone like to share their number
sentence with the class?
6 – 2 = 4.
Put your stick back together, and we will make a
number bond about what we just did. You had 2 cubes
and 4 cubes. How many together?
6.
(Demonstrate number bond on board.) Then, you took
2 away. (Cover part of the number bond.) How many
were left?
4.
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
NOTES ON
MULTIPLE MEANS
OF ENGAGEMENT:
For students with disabilities, consider
breaking down the steps of the lesson
while they work: “Draw your 6 cubes.
Now, cross out 2. Let’s count what’s
left: 1, 2, 3, 4. Show me how you write
the number sentence.” Practice with
more problems until students feel
confident enough to work
independently.
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.28
Lesson 22 K
NYS COMMON CORE MATHEMATICS CURRICULUM
T:
Write the number bond on your board, too. You can cross out the part of 2 to show what you did.
Repeat the exercise several times with varying subtrahends. Each time, allow students to record the action,
the number bond, and the number sentence on their personal white boards.
T:
Put your cubes away. We learned another way to
show 6 this year with our 5-groups. Does anyone
remember how we could draw 6 the 5-group way?
(Allow students to guide you in the creation of the
representation on the board.)
T: Let’s roll the die to see how many we should take away
from our 6. (Demonstrate.) How many?
S: 3.
T: I will cross off 3 to show the ones we are taking away.
(Demonstrate.) How many are left?
S: 3.
T: What would my number sentence be?
S: 6 – 3 = 3.
T:
T:
MP.4
T:
S:
How could we make a number bond about our picture,
and then show that we are taking part away? (Allow
time for discussion and demonstration.)
On your board, draw the 5-group for the number 6.
With your partner, take turns rolling the die to find out
how many you should take away each time. When
you roll, cross off the number and work with your
partner to write the number bond and the number
sentence. Let’s see how many different number
sentences we can find! (Circulate during the activity to
ensure understanding and correct representation of
the 5-group situations, number bonds, and equations.)
Who would like to share one of their number sentences with the class? I will list them on the board.
6 – 2 = 4.  We got 6 – 5 = 1.  What about 6 – 1 = 5?  We found 6 – 3 = 3 again.
Problem Set (10 minutes)
Students should do their personal best to complete the Problem Set within the allotted time.
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.29
Lesson 22 K
NYS COMMON CORE MATHEMATICS CURRICULUM
Student Debrief (8 minutes)
Lesson Objective: Decompose the number 6 using 5group drawings by breaking off or removing a part, and
record each decomposition with a drawing and
subtraction equation.
The Student Debrief is intended to invite reflection and
active processing of the total lesson experience.
Invite students to review their solutions for the Problem
Set. They should check work by comparing answers with a
partner before going over answers as a class. Look for
misconceptions or misunderstandings that can be
addressed in the Debrief. Guide students in a
conversation to debrief the Problem Set and process the
lesson.
Any combination of the questions below may be used to
lead the discussion.





In the Problem Set, what did your number bond
and number sentence look like with the hats?
Did your partner’s number bond and number
sentence look the same as yours?
Look at the snowflakes. Show a partner which
snowflakes you crossed out. Can you tell your
partner which snowflakes the other numbers in
the number sentence are talking about?
Did drawing the 5-group help you to cross out the
objects and easily count how many were left?
Why?
What are some of the take away number
sentences you found for 6?
How do these make you think about the ways we
made 6 in our number bonds before?
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.30
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 22 Sprint A K•4
Complete the number bond.
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.31
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 22 Sprint B K•4
Complete the number bond.
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.32
Lesson 22 Problem Set K•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
Fill in the number sentences and number bonds.
Take away 3 hats.
6
6
–
=
Take away 4 cubes.
6
6
–
=
Draw 6 circles in a 5-group. Take away 2 circles.
–
6
=
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.33
Lesson 22 Problem Set K•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Fill in the number bond.
Cross out 1 hat.
6
1
6 –
= 5
Cross out 5 snowflakes.
6
6
–
5
= 1
Cross out 2 snowflakes.
6
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
-
2 = 4
6
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.34
Lesson 22 Homework K•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
Here are 6 books. Cross out 2. How many are left? Fill in the number
bond and the number sentence.
6
=
–
6
Draw 6 stars. Cross out 4.
Fill in the number sentence
and the number bond.
–
=
Draw 6 objects. Cross out 5.
Fill in the number sentence
and the number bond.
–
=
On the back of your paper, draw 6 triangles. Cross out 1. Write a number
sentence, and draw a number bond to match.
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Decompose the number 6 using 5-group drawings by breaking off or
removing a part, and record each decomposition with a drawing and
subtraction equation.
2/10/16
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.35